105509264 has 40 divisors (see below), whose sum is σ = 235068288. Its totient is φ = 44939520.

The previous prime is 105509263. The next prime is 105509281. The reversal of 105509264 is 462905501.

It is a happy number.

It is a super-2 number, since 2×105509264² = 22264409579643392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105509264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105509263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15884 + ... + 21524.

Almost surely, 2^105509264 is an apocalyptic number.

105509264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105509264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117534144).

105509264 is an abundant number, since it is smaller than the sum of its proper divisors (129559024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105509264 is a wasteful number, since it uses less digits than its factorization.

105509264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105509264 is about 10271.7702466517. The cubic root of 105509264 is about 472.5308830817.

The spelling of 105509264 in words is "one hundred five million, five hundred nine thousand, two hundred sixty-four".